1 | // Copyright 2018 Developers of the Rand project. |
2 | // |
3 | // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or |
4 | // https://www.apache.org/licenses/LICENSE-2.0> or the MIT license |
5 | // <LICENSE-MIT or https://opensource.org/licenses/MIT>, at your |
6 | // option. This file may not be copied, modified, or distributed |
7 | // except according to those terms. |
8 | |
9 | use rand_core::impls::fill_bytes_via_next; |
10 | use rand_core::le::read_u64_into; |
11 | use rand_core::{RngCore, SeedableRng}; |
12 | #[cfg (feature = "serde" )] |
13 | use serde::{Deserialize, Serialize}; |
14 | |
15 | /// A xoshiro256+ random number generator. |
16 | /// |
17 | /// The xoshiro256+ algorithm is not suitable for cryptographic purposes, but |
18 | /// is very fast and has good statistical properties, besides a low linear |
19 | /// complexity in the lowest bits. |
20 | /// |
21 | /// The algorithm used here is translated from [the `xoshiro256plus.c` |
22 | /// reference source code](http://xoshiro.di.unimi.it/xoshiro256plus.c) by |
23 | /// David Blackman and Sebastiano Vigna. |
24 | #[derive (Debug, Clone, PartialEq, Eq)] |
25 | #[cfg_attr (feature = "serde" , derive(Serialize, Deserialize))] |
26 | pub struct Xoshiro256Plus { |
27 | s: [u64; 4], |
28 | } |
29 | |
30 | impl Xoshiro256Plus { |
31 | /// Jump forward, equivalently to 2^128 calls to `next_u64()`. |
32 | /// |
33 | /// This can be used to generate 2^128 non-overlapping subsequences for |
34 | /// parallel computations. |
35 | /// |
36 | /// ``` |
37 | /// use rand_xoshiro::rand_core::SeedableRng; |
38 | /// use rand_xoshiro::Xoshiro256Plus; |
39 | /// |
40 | /// let rng1 = Xoshiro256Plus::seed_from_u64(0); |
41 | /// let mut rng2 = rng1.clone(); |
42 | /// rng2.jump(); |
43 | /// let mut rng3 = rng2.clone(); |
44 | /// rng3.jump(); |
45 | /// ``` |
46 | pub fn jump(&mut self) { |
47 | impl_jump!( |
48 | u64, |
49 | self, |
50 | [ |
51 | 0x180ec6d33cfd0aba, |
52 | 0xd5a61266f0c9392c, |
53 | 0xa9582618e03fc9aa, |
54 | 0x39abdc4529b1661c |
55 | ] |
56 | ); |
57 | } |
58 | |
59 | /// Jump forward, equivalently to 2^192 calls to `next_u64()`. |
60 | /// |
61 | /// This can be used to generate 2^64 starting points, from each of which |
62 | /// `jump()` will generate 2^64 non-overlapping subsequences for parallel |
63 | /// distributed computations. |
64 | pub fn long_jump(&mut self) { |
65 | impl_jump!( |
66 | u64, |
67 | self, |
68 | [ |
69 | 0x76e15d3efefdcbbf, |
70 | 0xc5004e441c522fb3, |
71 | 0x77710069854ee241, |
72 | 0x39109bb02acbe635 |
73 | ] |
74 | ); |
75 | } |
76 | } |
77 | |
78 | impl SeedableRng for Xoshiro256Plus { |
79 | type Seed = [u8; 32]; |
80 | |
81 | /// Create a new `Xoshiro256Plus`. If `seed` is entirely 0, it will be |
82 | /// mapped to a different seed. |
83 | #[inline ] |
84 | fn from_seed(seed: [u8; 32]) -> Xoshiro256Plus { |
85 | deal_with_zero_seed!(seed, Self); |
86 | let mut state: [u64; 4] = [0; 4]; |
87 | read_u64_into(&seed, &mut state); |
88 | Xoshiro256Plus { s: state } |
89 | } |
90 | |
91 | /// Seed a `Xoshiro256Plus` from a `u64` using `SplitMix64`. |
92 | fn seed_from_u64(seed: u64) -> Xoshiro256Plus { |
93 | from_splitmix!(seed) |
94 | } |
95 | } |
96 | |
97 | impl RngCore for Xoshiro256Plus { |
98 | #[inline ] |
99 | fn next_u32(&mut self) -> u32 { |
100 | // The lowest bits have some linear dependencies, so we use the |
101 | // upper bits instead. |
102 | (self.next_u64() >> 32) as u32 |
103 | } |
104 | |
105 | #[inline ] |
106 | fn next_u64(&mut self) -> u64 { |
107 | let result_plus: u64 = self.s[0].wrapping_add(self.s[3]); |
108 | impl_xoshiro_u64!(self); |
109 | result_plus |
110 | } |
111 | |
112 | #[inline ] |
113 | fn fill_bytes(&mut self, dest: &mut [u8]) { |
114 | fill_bytes_via_next(self, dest); |
115 | } |
116 | } |
117 | |
118 | #[cfg (test)] |
119 | mod tests { |
120 | use super::*; |
121 | |
122 | #[test ] |
123 | fn reference() { |
124 | let mut rng = Xoshiro256Plus::from_seed([ |
125 | 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, |
126 | 0, 0, 0, |
127 | ]); |
128 | // These values were produced with the reference implementation: |
129 | // http://xoshiro.di.unimi.it/xoshiro256plus.c |
130 | let expected = [ |
131 | 5, |
132 | 211106232532999, |
133 | 211106635186183, |
134 | 9223759065350669058, |
135 | 9250833439874351877, |
136 | 13862484359527728515, |
137 | 2346507365006083650, |
138 | 1168864526675804870, |
139 | 34095955243042024, |
140 | 3466914240207415127, |
141 | ]; |
142 | for &e in &expected { |
143 | assert_eq!(rng.next_u64(), e); |
144 | } |
145 | } |
146 | } |
147 | |